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How many vertices does a pyramid have?

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Quick Answer

A triangular pyramid has four vertices. A square pyramid has five vertices. Other pyramids have a greater number of vertices depending on the shape of the base.

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How many vertices does a pyramid have?
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In geometry, a vertex is defined as an angular point of a polygon or a polyhedron. In two dimensions, this means a point where two lines meet, such as the points of a triangle. In three dimension, it means the point where three lines meet, such as the corner of a cube. While the most common pyramids have triangular or square bases, a pyramid can be constructed using any convex, simple polygon as a base, such as pentagons or hexagons. In all cases, the total number of vertices is equal to the number of vertices, or corners, the base has plus one more for the point at the top where all the faces meet.

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Related Questions

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    How many vertices does a rectangle have?

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    A two-dimensional rectangle has four vertices, and a three-dimensional rectangle has eight. The differences between the two figures are the number of sides and points of intersection.

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    How many vertices does a cuboid have?

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    A cuboid always has eight vertices. A cuboid is a three-dimensional shape that is similar to a cube in that it has six faces that are all at 90-degree angles to each other, but at least two of the faces on a cuboid are rectangles, not squares.

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    How many vertices does a triangle have?

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    A triangle has three vertices. A triangle consists of three lines, and the location where one line endpoint meets another line endpoint is called a vertex. A square consists of four vertices, while an octagon contains eight vertices.

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